121712252928 has 192 divisors, whose sum is σ = 375931745280. Its totient is φ = 34297675776.

The previous prime is 121712252923. The next prime is 121712252929. The reversal of 121712252928 is 829252217121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 121712252928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121712252923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3120201 + ... + 3158967.

It is an arithmetic number, because the mean of its divisors is an integer number (1957977840).

Almost surely, 2^121712252928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121712252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187965872640).

121712252928 is an abundant number, since it is smaller than the sum of its proper divisors (254219492352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121712252928 is an equidigital number, since it uses as much as digits as its factorization.

121712252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38872 (or 38852 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The spelling of 121712252928 in words is "one hundred twenty-one billion, seven hundred twelve million, two hundred fifty-two thousand, nine hundred twenty-eight".